Speaker:
Edgar Costa
Affiliation:
New York University
Date:
Wed, 05/11/2014 - 2:00pm
Venue:
Red Centre M032, UNSW
Abstract:
We study the behavior of geometric Picard rank of abelian surfaces and K3 surfaces over Q under reduction modulo primes. We compute these ranks for reductions of representative examples, investigate the resulting statistics and its correlations with the Sato-Tate group.